Discussion
The depth of penetration of a wave in a lossy dielectric increases with increasing
Answer: C
The depth of penetration of a wave in a lossy dielectric increases with increasing wavelength, option (C). The depth of penetration, or skin depth, is the distance over which the amplitude falls to 1/e, \(\delta = 1/\alpha\). For a good conductor \(\delta = \sqrt{2/(\omega\mu\sigma)}\), which falls as the frequency, conductivity and permeability rise, and so it rises as the frequency falls, that is, as the wavelength increases. Higher conductivity, option (A), and higher permeability, option (B), cut down the depth of penetration. Option (D), permittivity, has little effect on it for a good conductor.
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